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## Homework Statement

Sorry for the long intro:

An object is propelled up at angle

*theta*45 deg. <

*theta*< 90 deg. to the horiz. with initial vel. of V0 m/s. from the base of a plane that makes an angle of 45 deg. with the horiz.

If air resistance is ingored, the distance, R, travelled by the object up the inclined plane, is

R = V^2(sqrt 2)/ 32 (2sin

*theta*cos

*theta*- 2cos^2

*theta*

**Question**

You are asked to find the angle that maximizes R by solving equation

2sin

*theta*cos

*theta*+ 1 - 2sin^2

*theta*= 0

Solve for theta.

## Homework Equations

Not really any equations, just solving.

## The Attempt at a Solution

I tried to continue with this, but I don't know what to do when there are two different identities.

Would I factor?